21948312729420001

Names of 21948312729420001

• Cardinal: 21948312729420001 can be written as Twenty-one quadrillion, nine hundred forty-eight trillion, three hundred twelve billion, seven hundred twenty-nine million, four hundred twenty thousand and one.

Scientific notation

• Scientific notation: 2.1948312729420001 × 10¹⁶

Factors of 21948312729420001

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 37873704

Divisors of 21948312729420001

• Number of divisors d(n): 16
• Complete list of divisors:
  1 41 331 13571 42751 1752791 14150581 37830581 580173821 1551053821 12521922311 513398814751 1617295168331 66309101901571 535324700717561 21948312729420001
• Sum of all divisors σ(n): 22552091932962816
• Sum of proper divisors (its aliquot sum) s(n): 603779203542815
• 21948312729420001 is a deficient number, because the sum of its proper divisors (603779203542815) is less than itself. Its deficiency is 21344533525877186

Bases of 21948312729420001

• Binary: 1001101111110011101111111000111101010000000000011100001₂
• Hexadecimal: 0x4DF9DFC7A800E1
• Base-36: 6040ZO6GE01

Squares and roots of 21948312729420001

• 21948312729420001 squared (21948312729420001²) is 481728431668420054030161858840001
• 21948312729420001 cubed (21948312729420001³) is 10573126268911517002218237367421017133547388260001
• The square root of 21948312729420001 is 148149629.5284601817
• The cube root of 21948312729420001 is 279984.3219513215

Scales and comparisons

• 21,948,312,729,420,001 seconds is equal to 697,888,454 years, 10 weeks, 5 days, 6 hours, 1 second.
• To count from 1 to 21,948,312,729,420,001 would take you about two billion, ninety-three million, six hundred sixty-five thousand, three hundred sixty-two years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 21948312729420001 cubic inches would be around 23332 feet tall.

Recreational maths with 21948312729420001

• 21948312729420001 backwards is 10002492721384912
• The number of decimal digits it has is: 17
• The sum of 21948312729420001's digits is 55
• More coming soon!